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| Online-Ressource |
Verfasst von: | Heidersdorf, Thorsten [VerfasserIn]  |
| Weissauer, Rainer [VerfasserIn]  |
Titel: | Cohomological tensor functors on representations of the general linear supergroup |
Verf.angabe: | Thorsten Heidersdorf, Rainer Weissauer |
Verlagsort: | Providence, RI |
Verlag: | American Mathematical Society |
E-Jahr: | 2021 |
Jahr: | June 23, 2021 |
Umfang: | 1 Online-Ressource (v, 106 Seiten) |
Illustrationen: | Diagramme |
Gesamttitel/Reihe: | Memoirs of the American Mathematical Society ; volume 270, number 1320 |
| Memoirs of the American Mathematical Society Ser. ; v.270 |
Fussnoten: | Description based on publisher supplied metadata and other sources |
ISBN: | 978-1-4704-6528-5 |
Abstract: | Cover -- Title page -- Chapter 1. Introduction -- Chapter 2. Cohomological Tensor Functors -- 2.1. The superlinear groups -- 2.2. The Duflo-Serganova functor -- 2.3. Cohomology functors -- 2.4. Support varieties and the kernel of -- 2.5. The tensor functor -- 2.6. The relation between ( ) and ( ) -- 2.7. Hodge decomposition -- 2.8. The case > -- 1 -- 2.9. Boundary maps -- 2.10. Highest weight modules -- 2.11. The Casimir -- Chapter 3. The Main Theorem and its Proof -- 3.1. The language of Brundan and Stroppel -- 3.2. On segments, sectors and plots -- 3.3. Mixed tensors and ground states -- 3.4. Sign normalizations -- 3.5. The main theorem -- 3.6. Strategy of the proof -- 3.7. Modules of Loewy length 3 -- 3.8. Inductive Control over -- 3.9. Moves -- Chapter 4. Consequences of the Main Theorem -- 4.1. Tannaka Duals -- 4.2. Cohomology I -- 4.3. Cohomology II -- 4.4. Cohomology III -- 4.5. The forest formula -- 4.6. -module structure on the cohomology ^{∙}_{ _{ }} -- 4.7. Primitive elements of ^{∙}_{ _{ }}( (1)) -- 4.8. Kac module of 1 -- 4.9. Strict morphisms -- 4.10. The module (( )ⁿ) -- 4.11. The basic hook representations -- Bibliography -- Back Cover. |
URL: | Aggregator: https://ebookcentral.proquest.com/lib/kxp/detail.action?docID=6661105 |
Schlagwörter: | (s)Allgemeine lineare Gruppe / (s)Kohomologieoperation  |
Datenträger: | Online-Ressource |
Sprache: | eng |
Bibliogr. Hinweis: | Erscheint auch als : Druck-Ausgabe: Heidersdorf, Thorsten: Cohomological tensor functors on representations of the general linear supergroup. - Providence, RI : American Mathematical Society, 2021. - v, 106 Seiten |
RVK-Notation: | SI 130  |
Sach-SW: | Electronic books |
K10plus-PPN: | 1763109593 |
Verknüpfungen: | → Übergeordnete Aufnahme, Artikel |
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Lokale URL UB: | Zum Volltext |
978-1-4704-6528-5
Cohomological tensor functors on representations of the general linear supergroup / Heidersdorf, Thorsten [VerfasserIn]; June 23, 2021 (Online-Ressource)
68770076